Physical symmetry groups and associated bundles in field theory
type: Item
instance of: scholarly article
title: Physical symmetry groups and associated bundles in field theory
zbMATH Open document ID: 0612.53008
DOI: 10.1016/0034-4877(86)90072-8
published in: Reports on Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: The author presents a geometrical and spinor approach to a paper of \textit{J. Rzewuski} [J. Math. Phys. 25, 216-2139 (1984)] which deals with the invariant submanifolds of the linear representation space \({\mathbb{C}}^{4m}\) and the physical symmetry group SU(2,2)\(\times SU(m)\) and its subgroup \({\mathbb{P}}\times SU(m)\). This study involves using homogeneous spaces, and examples of various orbits are given using spinors. The paper concludes with a brief discussion of physical consequences of his results.
Mathematics Subject Classification ID: 53C27
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 3990268
zbMATH Keywords: spinor
zbMATH Keywords: invariant submanifolds
zbMATH Keywords: symmetry group
zbMATH Keywords: homogeneous spaces
author: Albert Crumeyrolle
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: 0034-4877(86)90072-8
OpenAlex ID: W1998947141
cites work: Q3892915
cites work: On geometrical properties of spinor structure
cites work: Q5795141
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description: scientific article; zbMATH DE number 3990268